b. The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Lesson 18:
Relate decimal and fraction multiplication.
©2018 Great Minds eureka-math.org

Answers

Answer 1

Answer:

Step-by-step explanation:The area of the playground is one and a half times that of the swimming pool. Fir

the swimming pool and the playground.

Answer 2
Final answer:

Without more information, we cannot determine the area of the playground and swimming pool.

Explanation:

To find the area of the playground and swimming pool, we need more information such as the dimensions or area of one of the shapes. Without that information, we cannot solve the problem.

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Related Questions

The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°.
Find the exact length of the arc.
3050

Answers

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by [tex]\theta=305^{\circ}[/tex]

Arc length of the circle:

The arc length of the circle can be determined using the formula,

[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]

where r = 6 and [tex]\theta=305^{\circ}[/tex]

Substituting the values, we have,

[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]

Multiplying the numerator, we have,

[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]

Substituting [tex]\pi=3.14[/tex], we have,

[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]

Multiplying the terms, we get,

[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]

Dividing, we get,

[tex]\ {arc\ length}=31.92 \ units[/tex]

Thus, the arc length of the circle is 31.92 units

Each notebook contains 60 sheets ​

Answers

try using photo math

I hope it helps

Convert each degree measure into radians.
1) -290°

Answers

Answer:

-290/180 × pi

-29pi/18

Or, -5.06

In a small U.S. city, the ratio of people to cars is approximately 1.85 : 1. If 12,100 people live in
the city, to the nearest 100 cars, approximately how many cars are in the city?

Answers

Answer:

[tex]6,500\ cars[/tex]

Step-by-step explanation:

Let

x ---> the number of people

y ---> the number of cars

we know that

The ratio of people to cars is approximately 1.85 : 1

so

[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]

[tex]x=1.85y[/tex] -----> equation A

12,100 people live in  the city

so

[tex]x=12,100[/tex]

substitute the value of x in the equation A

[tex]12,100=1.85y[/tex]

solve for y

[tex]y=6,540.54\ cars[/tex]

to the nearest 100 car

[tex]y=6,500\ cars[/tex]

Final answer:

To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.

Explanation:

The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.

Calculation:

Number of cars = Total population × Proportion of cars to people

Number of cars = 12,100 × 0.5405 ≈ 6,540.05

Rounded to the nearest hundred, the city has approximately 6,500 cars.

PLEASE HELP ASAP!!
Three-fifths of the days last year were sunny. If there were 365 days in the year, Answer
of them were sunny.

Answers

Answer:219

Step-by-step explanation:

We can multiply 3/5 by 365 to get our answer:

3/5*365=219

So 219 out of 365 days were sunny.

I hope this helps and good luck!

Rewrite the equation B - 7,536 = 2t as a function of t.

Answers

Answer:

B = 2t + 7,536

Step-by-step explanation:

B - 7,536 = 2t

Add 7,536 to both sides.

B = 2t + 7,536

Pleaseeee helppppp me

Answers

Answer:

Step-by-step explanation:

Good luck

For problem 2, f(2) =
A. 8
B. 16
C. 124

Answers

Explanation:

Hello! Remember you have to write complete question in order to get good and exact answers. Here you haven't provided any function, so I'll help you providing this one:

[tex]f(x)=3x^2+5x-6[/tex]

So [tex]f(2)[/tex] means that you need to evaluate the function when [tex]x=2[/tex]. In other words:

[tex]f(2)=3(2)^2+5(2)-6 \\ \\ f(2)=3(4)+10-6 \\ \\ f(2)=12+12-6 \\ \\ \boxed{f(2)=16}[/tex]

In this context:

Correct option is B. 16

17. (-3, y) and (1, -7); m = -4

Answers

y-y1=m(x-x1) where (x1, y1)=(1, -7)

y+7=-4(x-1)

y+7=-4x+4

y+7=(-4x+4)*4

y+7=-x+16

y=-x+9

-----------------

y=9−x

y−9=−x

−y+9=x

9−y=x

x=9−y

-----------------

x=9−y

y*x=9 put 1 in for x

y=9

The value of [y] in the coordinate (-3, y) through which the line passes is 9 units.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

m is the slope of the line.

c is the y - intercept

Given is a line that passes through the points (-3, y) and (1, -7). The slope of this line is m = -4.

We can write from the above data -

The coordinates through which the line passes are → (-3, y) and (1, -7)

Now, the general equation of line -

y = mx + c

So -

- 7 = -4 x 1 + c

- 7 = -4 x 1 + c

- 7 = - 4 + c

c = - 7 + 4

c = - 3

Therefore, we can write, for coordinate (-3, y) as -

y = -4 x -3 - 3

y = 12 - 3

y = 9

The value of [y] will be 9 units.

Therefore, the value of [y] in the coordinate (-3, y) is 9 units.

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What is the value of x?

Answers

Answer:

80

Step-by-step explanation:

Simplify the expression.
6m +10 - 10m =

Which expression is equivalent to 8x - 2y + x + x?

4x

6x -2y

8x

10x - 2y​

Answers

Answer:

Problem 1

6m + 10 - 10m

4m + 10

Answer:  4m + 10

Problem 2

8x - 2y + x + x

8x + 2x - 2y

10x - 2y

Answer:  Option D, 10x - 2y

What are the steps of adding and subtracting a fraction?

Answers

Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?


1/5


1/10


1/20


1/500

Answers

Answer:

As a percent, the odds of having an allergic reaction would be 2%.

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

The answer is 2%, or 1/50 as a fraction.

A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *

Answers

Answer:9400 backpacks

[tex]\geq[/tex]Step-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 [tex]\geq[/tex] 7800

20x - 11,000 [tex]\geq[/tex] 7,800

20x [tex]\geq[/tex] 7800+ 11000

20x [tex]\geq[/tex] 18,800

x [tex]\geq[/tex] 18800/2

x [tex]\geq[/tex] 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

(5.2x10^-1)(1.5x10^-5)

Answers

Answer:

(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6

Step-by-step explanation:

0.000001 x7.8=0.0000078

8 yo the power of 2 ÷4×(2+3)-9

Answers

71 is the answer your welcome

WILL MARK BRAINLIEST

Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.




Enter all fractions in reduced form.


A. Use the picture to complete the following table.

Long Sleeves Short Sleeves Rolled-up Sleeves

Male


Female


B. What is the probability that the student selected will be a female with long sleeves?



C. What is the probability that the student selected will be a male with rolled-up sleeves?

Answers

B. Probability of long sleeve female is zero.

C. Probability of rolled-up male is 1/4.

Step-by-step explanation:

A. The table from the picture :

             Long Sleeves    Short Sleeves    Rolled-up Sleeves

Male           3                          0                          2

Female      0                           3                          0

B. The probability that the student selected will be a female with long sleeves :

From the table,

It is determined that no female are with long sleeve.

So, the probability of choosing female with long sleeve is 0.

C. The probability that the student selected will be a male with rolled-up sleeves :

From the table,

The number of males with rolled-up sleeves = 2

Total number of students = 8

P(rolled-up male) = 2/8 = 1/4.

The probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Let's first complete the table...

1. Long Sleeves:

Male: 3Female: 0

2. Short Sleeves:

Male: 0Female: 3

3. Rolled-up Sleeves:

Male: 2Female: 0

Probability Calculations

Total number of students = 3 (Male, Long Sleeves) + 0 (Female, Long Sleeves) + 0 (Male, Short Sleeves) + 3 (Female, Short Sleeves) + 2 (Male, Rolled-up Sleeves) + 0 (Female, Rolled-up Sleeves) = 8.

Probability of Selecting a Female with Long Sleeves

P(Female with Long Sleeves) = Number of Females with Long Sleeves / Total Students = 0/8 = 0.

Probability of Selecting a Male with Rolled-up Sleeves

P(Male with Rolled-up Sleeves) = Number of Males with Rolled-up Sleeves / Total Students = 2/8 = 1/4.

Therefore, the probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Complete question: Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.

Enter all fractions in reduced form.

A. Use the picture to complete the following table.

                   Long Sleeves     Short Sleeves    Rolled-up Sleeves

Male                     3                           0                                2

Female                 0                          3                               0

B. What is the probability that the student selected will be a female with long sleeves?

C. What is the probability that the student selected will be a male with rolled-up sleeves?

Which linear equation represents the data given in the table?
A) y = 6x + 6
B) y = 2x + 6
C) y = 6x − 6
D) y = 2x − 6

Answers

Answer:

the equation is C: y=6x-6

Answer:

Step-by-step explanation:

(1,0) (2,6)

(6-0)/(2-1)

6/1= 6

y - 0 = 6(x -1)

y = 6x - 6

answer is c

When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?

3x - 2y = 10
5x + y = 4

Answers

Answer:

Step-by-step explanation:

3x-2y=10

5x+y=4

15x-10y=50

15x+3y=12

-13y=38

y=-38/13

Substitute for y

x=54/39

Please help. I'll mark you as brainliest if answered correctly. :)
Two complex numbers are represented by c + di and e-fi, where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.

Answers

Answer:

What are the quadrants? if the quadrants are c,d,e, and f then it would be c and d because both of the numbers lie on a y complex.

Step-by-step explanation:

⭐ Answered by Kash ʕ •㉨• ʔ⭐  

⭐ Brainliest would be appreciated!⭐  

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

4x - 5y = 14
If y = 2, what value of x satisfies the given equation?
A) 6
B) 8
C) 10
D) 24

Answers

Answer:

A

Step-by-step explanation:

Given

4x - 5y = 14 ← substitute y = 2 into the equation and solve for x

4x - 5(2) = 14, that is

4x - 10 = 14 ( add 10 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6 → A

If 1/2 cup of fruit cocktail 13g of sugar, then 1 1/4 cup of fruit cocktail contains how many grams of sugar?

Answers

Answer: 32.5g of sugar

Step-by-step explanation:

if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.

Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.

Step-by-step explanation:

13/2= 6.5

1/4 cups = 6.5g of sugar

6.5x5= 32.5g

Hope this helps!

Heather flipped a coin five times, and each time it came up heads. Heather flips the coin one more time. Which is the theoretical probability that it will come up tails?

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The prior flips have no influence on the outcome of the 6th flip. its still a 50-50 chance to flip tails

Help please like hurry!!

Answers

The answer is a 36
This is because if you take the area of one of the three triangles that make up the trapezoid you do 1/2 base times height and get 12 and you add all three together thus getting 36 square inches

Answer: 36 square inches

Step-by-step explanation: The trapezoid is divided into three triangles.

The formula for the area of a triangle is 1/2(b*h). Replace the variables with the values in the drawing.

1/2(4*6)

= 1/2(24)

=12

There are 3 triangles, so multiply the area of 1 triangle (which is 12) by 3.

12*3

=36

Label the final answer.

36 square inches

What is (3x+2​)+​(−4x+4)

Answers

Answer:

-x + 6

Step-by-step explanation:

(3x + 2) + (-4x + 4)

Distribute + into the bracket (-4x + 4). When you do so, + sign becomes -

3x + 2 - 4x + 4

Rearrange the expression

3x - 4x + 2 + 4

-x + 6

3x + -4x= -1 and 2+4=6 so the answer is -1x+6

Write down the square number between 26 and 63 that is odd?

Answers

Ans is 49.

If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.

HOPE THIS WILL HELP U..

The square number between 26 and 63 that is odd will be 49.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The number is between 26 and 63.

26  27  28  29  30  31  32  33  34   35  36   37   38   39   40   41   42    43    44   45    46    47     48     49      50     51     52     53     54    55    56    57   58    59    60    61    62    63

From the given numbers,

49 is the square number between 26 and 63 which is odd.

Here, 7 × 7 = 49

Therefore, the square number between 26 and 63 is 49

odd is 49 as 7 × 7 = 49.

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Linear equation 1+2x=5x+3

Answers

Answer:x=-2/3

Step-by-step explanation:

solve the inequality

2r^2-13x+15<0​

Answers

Answer:

x > 2r^2/13 + 15/13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x > 2r^2/13 + 15/13

Answer:   [tex]\bold{\dfrac{3}{2}<x<5\quad \rightarrow \quad \text{Interval Notation}: \bigg(\dfrac{3}{2},5\bigg)}[/tex]

Step-by-step explanation:

First, factor the inequality and solve for x to find the zeros.

Then, choose test points on the outside of those values and between them.

Plug them in to determine which one(s) yield a negative (< 0).

2x² - 13x + 15 < 0

(2x - 3)(x - 5) < 0

2x - 3 = 0     and      x - 5 = 0

      x = 3/2     and        x = 5

I choose the left test point of 0            (2(0) - 3) × (0 - 5) > 0  (+)

I choose the between test point of 2   (2(2) - 3) × (2 - 5) < 0  (-)

I choose the right test point of 6          (2(6) - 3) × (6 - 5) > 0  (+)

Illustration of Graph:

     +                               ---                                  +

←----|----------o----------------|---------------o--------------|----→

     0          3/2                2                5              6

Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.

Brain and Zach went to village grille for lunch. Brian's lunch cost $4 less than 3 times Zach's. The total cost for lunch was $25.How much did each boy spend on lunch?

Answers

Answer:

The cost for Zach's lunch is 12, and for Brain's lunch it cost 8.

Step-by-step explanation:

Since, I am sorry, you can answer from here in out. ;)

Final answer:

Zach spent $6 on lunch and Brian spent $19 on lunch.

Explanation:

To solve this problem, we need to create an equation based on the given information.

Let's assume Zach's lunch cost x dollars.

According to the problem, Brian's lunch cost $4 less than 3 times Zach's lunch, which can be expressed as 3x - 4 dollars.

The total cost for lunch was $25, so we can write the equation: x + (3x - 4) = 25.

Solving this equation, we find that Zach spent $6 on lunch and Brian spent $19 on lunch.

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An international company has 12,700 employees in one country. If this represents 27.1% of the company's employees, how many employees does it have in total?

Answers

The international company has 46864 employees in total.

Step-by-step explanation:

Given that,

An international company has 12,700 employees in one country.

And, this 12,700 employees represents 27.1% of the company's employees.

Therefore, the total number of employees can be found by calculating the 100% of the employees.

Let us assume that the total number of the employees be 'x'.

From the x number of employees, 12,700 employees were 27.1%

Now, framing the above statement in the equation form to solve for x :

⇒ 27.1 % of x = 12700

⇒ (27.1 / 100) x = 12700

⇒ 0.271 x = 12700

⇒ x = 12700 / 0.271

x = 46863.5 (which is approximately 46864 employees)

Therefore, the total number of employees is 46864.

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